101263636552049 has 2 divisors, whose sum is σ = 101263636552050. Its totient is φ = 101263636552048.

The previous prime is 101263636552021. The next prime is 101263636552109. The reversal of 101263636552049 is 940255636362101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84769438249024 + 16494198303025 = 9207032^2 + 4061305^2 .

It is a cyclic number.

It is not a de Polignac number, because 101263636552049 - 2⁸ = 101263636551793 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101263636552009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50631818276024 + 50631818276025.

It is an arithmetic number, because the mean of its divisors is an integer number (50631818276025).

Almost surely, 2^{101263636552049} is an apocalyptic number.

It is an amenable number.

101263636552049 is a deficient number, since it is larger than the sum of its proper divisors (1).

101263636552049 is an equidigital number, since it uses as much as digits as its factorization.

101263636552049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6998400, while the sum is 53.

The spelling of 101263636552049 in words is "one hundred one trillion, two hundred sixty-three billion, six hundred thirty-six million, five hundred fifty-two thousand, forty-nine".